V. Skvortsov

collaborators

2 papers

math.FA2025

Analogues of $s$ -potential and $s$ -energy of mass distribution on Cantor dyadic group and their relation to Hausdorff dimension

Valentin Skvortsov

We introduce an analogue of Riesz $s$ -potetial and $s$ -energy, $0 < s < 1$ , of a mass distribution $μ$ on the Cantor dyadic group $G$ by defining a respactive $s$ -kernel. Then we relat…

math.CA2022

On the relation between Denjoy--Khintchine and HK $_{r}$ -integrals

Valentin A. Skvortsov, Piotr Sworowski

We locate Musial\,\&\,Sagher's concept of HK $_{r}$ -inte\-gration within the approximate Henstock--Kurzweil integral theory. If to restrict HK $_{r}$ -integral by requirement that the ind…

Analogues of s-potential and s-energy of mass distribution on Cantor dyadic group and their relation to Hausdorff dimension

On the relation between Denjoy--Khintchine and HKr​-integrals

Analogues of $s$ -potential and $s$ -energy of mass distribution on Cantor dyadic group and their relation to Hausdorff dimension

On the relation between Denjoy--Khintchine and HK $_{r}$ -integrals